A POSTERIORI ERROR ESTIMATES FOR LOCAL CO DISCONTINUOUS GALERKIN METHODS FOR KIRCHHOFF PLATE BENDING PROBLEMS
A POSTERIORI ERROR ESTIMATES FOR LOCAL CO DISCONTINUOUS GALERKIN METHODS FOR KIRCHHOFF PLATE BENDING PROBLEMS作者机构:Department of Mathematics Shanghai Normal University Shanghai 200234 ChinaDivision of Computational Science E-Institute of Shanghai Universities Shanghai Normal University Shanghai 200234 China Scientific Computing Key Laboratory of Shanghai Universities Shanghai Normal University Shanghai 200234 China Department of Mathematics MOE-LSC Shanghai Jiao Tong University Shanghai 200240 China Division of Computational Science E-Institute of Shanghai Universities Shanghai Normal University Shanghai 200234 China College of Mathematics and Information Science Wenzhou University Wenzhou 325035 China Email: xuehaihuang@wzu edu. cn
出 版 物:《Journal of Computational Mathematics》 (计算数学(英文))
年 卷 期:2014年第32卷第6期
页 面:665-686页
核心收录:
学科分类:07[理学] 08[工学] 070102[理学-计算数学] 0701[理学-数学] 080102[工学-固体力学] 0801[工学-力学(可授工学、理学学位)]
基 金:国家自然科学基金 China MOE Specialized Research Fund for the Doctoral Program of Higher Education 上海市高校E-研究院项目 Innovation Program of Shanghai Municipal Education Commission
主 题:Kirchhoff bending plate Discontinuous Galerkin method A posteriori erroranalysis.
摘 要:We derive some residual-type a posteriori error estimates for the local CO discontinuous Galerkin (LCDG) approximations ([31]) of the Kirchhoff bending plate clamped on the boundary. The estimator is both reliable and efficient with respect to the moment-field approximation error in an energy norm. Some numerical experiments are reported to demonstrate theoretical results.